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Finding the Third Proportional to 296,566 and 652,171

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Solution

The third proportional to 296,566 and 652,171 is: 1,434,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,566 : 652,171 = 652,171 : x
  2. Step 2: Convert to fraction form
    296,566/652,171 = 652,171/x
  3. Step 3: Cross multiply
    296,566x = 652,171 × 652,171
  4. Step 4: Simplify right side
    296,566x = 425,327,013,241
  5. Step 5: Solve for x
    x = 425,327,013,241/296,566
  6. Step 6: Final answer
    x = 1,434,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.